Supplement Material 1

(1) The frequency-dependent droplet dynamic behaviors on nanostructured surfaces. (2） The phase diagram for droplet impact on surface with ϕs=0.5. (3) The bouncing velocity vb as a function of the amplitude A* for the bouncing cases. (4) The solid-liquid contact time on surfaces with respect to various f* for the bouncing cases. (5) The normalized spreading time ts/τs with respect to We for static surfaces. (6) The normalized spreading time ts/tstatic,s as a function of the amplitude A*. (7) The illustration of the droplet configuration at the impact and the maximum spreading stage.